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What is the octal equivalent of (F3B1)16?
Question

What is the octal equivalent of (F3B1)16?

A.

178543

B.

172101

C.

171661

D.

178213

Correct option is C


To find the  octal equivalent of a  hexadecimal number, you can convert each hexadecimal digit to its  binary equivalent and then group the binary digits into groups of three (since each octal digit represents three binary digits).
Let's convert each hexadecimal digit of (F3B1)16 to binary:
F = 1111
3 = 0011
B = 1011
1 = 0001
Now group the binary digits into sets of three:
1111 0011 1011 0001
Now convert each set of three binary digits to octal:
001 111 001 110 110 001
Combine these octal digits: 171661.
Therefore, the octal equivalent of (F3B1)16 is option c) 171661.

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